Question

When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and at least one numerator determinant is zero, then the system _________.

A. has no solution
B. has infinite solutions
C. is consistent
D. has one solution

Answer 1

Answer is "A"

Explanation:

The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:

x + y = 3 and 2x + 2y = 6

Determinant of the equations are

| 1 1 | =0

l22l=0